Dergiler / New Trends in Mathematical Sciences / 2015 / Cilt: 3 Sayı: 2

Mehmet Ali Balci1and Mehmet Sezer2

A Numerical Approach Based on Exponential Polynomials for solving of Fredholm Integro-Differential-Difference Equations

Sayfa
44–54
DOI
—

Abstract

In this study, a matrix method based on exponential polynomials by means of collocation points is proposed to solvethe higher-order linear Fredholm integro-differential-difference equations under the initial-boundary conditions. In addition, an erroranalysis technique based on residual function is developed for our method. Illustrative examples are included to demostrate the validityand applicability of the presented technique